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کاربرد نوع شرط:
- جایگاه : پژوهشی
- مجله: Mathematics Interdisciplinary Research
- نوع مقاله: Journal Article
- کلمات کلیدی: F-hypergroup of type U on the right,regular relation,right reversible,cyclic F-semihypergroup
- چکیده:
- چکیده انگلیسی: In this paper, first we introduce F-hypergroups of type U on the right. We will prove that every right scalar identity of an F-hypergroup of type U on the right of size ≤ 5 is also a left identity. Also, we will classify F-hypergroups of type U on the right of order 2 or 3 up to an isomorphism. Then, we will study cyclic F-semihypergroups and finally by using regular relations we construct right reversible quotient F-hypergroups.
- انتشار مقاله: 27-07-1399
- نویسندگان: Mehdi Farshi,Bijan Davvaz,Fatemeh Dehghan
- مشاهده
- جایگاه : پژوهشی
- مجله: Journal of Algebraic Systems
- نوع مقاله: Journal Article
- کلمات کلیدی: Lattice,derivation,MV -algebra,BCIBCK-algebra
- چکیده:
- چکیده انگلیسی: Recently, the algebraic theory of MV -algebras is intensively studied.
In this paper, we extend the concept of derivation of $MV$-algebras and we give some
illustrative examples. Moreover, as a generalization of derivations of $MV$ -algebras
we introduce the notion of $f$-derivations and $(f; g)$-derivations of $MV$-algebras.
Also, we investigate some properties of them.- انتشار مقاله: 21-12-1391
- نویسندگان: L. Kamali Ardakani,Bijan Davvaz
- مشاهده
- جایگاه : پژوهشی
- مجله: Journal of Algebraic Systems
- نوع مقاله: Journal Article
- کلمات کلیدی: Lattice,derivation,MV -algebra,BCIBCK-algebra
- چکیده:
- چکیده انگلیسی: Recently, the algebraic theory of MV -algebras is intensively studied.
In this paper, we extend the concept of derivation of $MV$-algebras and we give some
illustrative examples. Moreover, as a generalization of derivations of $MV$ -algebras
we introduce the notion of $f$-derivations and $(f; g)$-derivations of $MV$-algebras.
Also, we investigate some properties of them.- انتشار مقاله: 21-12-1391
- نویسندگان: L. Kamali Ardakani,Bijan Davvaz
- مشاهده
- جایگاه : پژوهشی
- مجله: Categories and General Algebraic Structures with Applications
- نوع مقاله: Journal Article
- کلمات کلیدی: Ordered semihypergroups,$(m,0)$-hyperideals,$(0,n)$-hyperideals
- چکیده:
- چکیده انگلیسی: In this paper, first we introduce the notions of an $(m,n)$-hyperideal and a generalized $(m,n)$-hyperideal in an ordered semihypergroup, and then, some properties of these hyperideals are studied. Thereafter, we characterize $(m,n)$-regularity, $(m,0)$-regularity, and $(0,n)$-regularity of an ordered semihypergroup in terms of its $(m,n)$-hyperideals, $(m,0)$-hyperideals and $(0,n)$-hyperideals, respectively. The relations ${_mmathcal{I}}, mathcal{I}_n, mathcal{H}_m^n$, and $mathcal{B}_m^n$ on an ordered semihypergroup are, then, introduced. We prove that $mathcal{B}_m^n subseteq mathcal{H}_m^n$ on an ordered semihypergroup and provide a condition under which equality holds in the above inclusion. We also show that the $(m,0)$-regularity [$(0,n)$-regularity] of an element induce the $(m,0)$-regularity [$(0,n)$-regularity] of the whole $mathcal{H}_m^n$-class containing that element as well as the fact that $(m,n)$-regularity and $(m,n)$-right weakly regularity of an element induce the $(m,n)$-regularity and $(m,n)$-right weakly regularity of the whole $mathcal{B}_m^n$-class and $mathcal{H}_m^n$-class containing that element, respectively.
- انتشار مقاله: 16-01-1398
- نویسندگان: Ahsan Mahboob,Noor Mohammad Khan,Bijan Davvaz
- مشاهده
- جایگاه : پژوهشی
- مجله: Algebraic Structures and Their Applications
- نوع مقاله: Journal Article
- کلمات کلیدی: Simple graph,Caylay graph,polygroup,GCP-graph,graph product
- چکیده:
- چکیده انگلیسی: In this paper, we introduce a suitable generalization of Cayley graphs that is defined over polygroups (GCP-graph) and give some examples and properties. Then, we mention a generalization of NEPS that contains some known graph operations and apply to GCP-graphs. Finally, we prove that the product of GCP-graphs is again a GCP-graph.
- انتشار مقاله: 01-09-1397
- نویسندگان: Dariush Heidari,Bijan Davvaz
- مشاهده